252757071 has 64 divisors (see below), whose sum is σ = 458357760. Its totient is φ = 134369280.

The previous prime is 252757061. The next prime is 252757163. The reversal of 252757071 is 170757252.

It is not a de Polignac number, because 252757071 - 2⁶ = 252757007 is a prime.

It is a super-2 number, since 2×252757071² = 127772273880998082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252757061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311256 + ... + 312066.

It is an arithmetic number, because the mean of its divisors is an integer number (7161840).

Almost surely, 2^252757071 is an apocalyptic number.

252757071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

252757071 is a deficient number, since it is larger than the sum of its proper divisors (205600689).

252757071 is a wasteful number, since it uses less digits than its factorization.

252757071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 252757071 is about 15898.3354789110. The cubic root of 252757071 is about 632.2678581712.

The spelling of 252757071 in words is "two hundred fifty-two million, seven hundred fifty-seven thousand, seventy-one".